Answer:

Step-by-step explanation:
The given differential equation is 
The characteristics equation is given by

Finding the values of r

We got a repeated roots. Hence, the solution of the differential equation is given by

On differentiating, we get

Apply the initial condition y (0)= 3 in equation (i)

Now, apply the initial condition y' (0)= 13 in equation (ii)

Therefore, the solution of the differential equation is

Answer:
O A"(3, -5) B"(1, -3)
Step-by-step explanation:
Hope it helps.
Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:

Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to

Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at

The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are

Answer:
yes
Step-by-step explanation:
3+-33=30
22x- - -2x=24x
so yes